cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A062278 a(n) = floor(3^n / n^3).

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%I A062278 #13 Jul 01 2018 21:17:50
%S A062278 3,1,1,1,1,3,6,12,27,59,133,307,725,1743,4251,10509,26285,66430,
%T A062278 169450,435848,1129505,2947131,7737583,20430377,54226471,144621405,
%U A062278 387420489,1042127936,2813988985,7625597484,20733556989,56549688380
%N A062278 a(n) = floor(3^n / n^3).
%C A062278 3 is the only integer value of k for which floor(n^k / k^n) is always positive. For positive real x and k, the only value of k for which x^k is always greater than or equal to k^x is e = 2.71828...
%H A062278 Harry J. Smith, <a href="/A062278/b062278.txt">Table of n, a(n) for n = 1..200</a>
%e A062278 a(2) = floor(3^2 / 2^3) = floor(9/8) = 1.
%p A062278 seq(floor(3^n/n^3),n=1..35); # _Muniru A Asiru_, Jul 01 2018
%t A062278 Table[Floor[3^n/n^3],{n,40}] (* _Vladimir Joseph Stephan Orlovsky_, Apr 12 2011 *)
%o A062278 (PARI) { default(realprecision, 50); for (n=1, 200, write("b062278.txt", n, " ", floor(3^n / n^3)) ) } \\ _Harry J. Smith_, Aug 03 2009
%o A062278 (GAP) List([1..35],n->Int(3^n/n^3)); # _Muniru A Asiru_, Jul 01 2018
%Y A062278 Cf. A000244, A000578, A024026, A060505.
%K A062278 nonn
%O A062278 1,1
%A A062278 _Henry Bottomley_, Jul 02 2001